Laws Of Motion

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A block slides down on an incline of angle 30° with an acceleration $\frac{g}{4}$ , Find the kinetic 4 friction coefficient.

$\frac{1}{2 \sqrt{2}}$

0.6

$\frac{1}{2 \sqrt{3}}$

$\frac{1}{\sqrt{2}}$

Solution

$\frac{1}{2 \sqrt{3}}$

Consider the situation

Let the mass of block be m.

The equation of forces

mg sin 30^o - f = $\frac{mg}{4}$

f = $mg \frac{1}{2} - \frac{mg}{4}$ .....( since sin30^o = $\frac{1}{2}$ )

f = $\frac{m g}{4}$

Also, N = mg cos 30° = mg $\frac{\sqrt{3}}{2}$

As the block is slipping on the incline, friction is

μ_n = $\frac{F}{N}$

= $\frac{mg}{4 mg \frac{\sqrt{3}}{2}}$

μ_n = $\frac{1}{2 \sqrt{3}}$

Some More Questions From Laws of Motion Chapter

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Laws Of Motion

A block slides down on an incline of angle 30° with an acceleration $\frac{g}{4}$ , Find the kinetic 4 friction coefficient.

$\frac{1}{2 \sqrt{2}}$

0.6

$\frac{1}{2 \sqrt{3}}$

$\frac{1}{\sqrt{2}}$

Some More Questions From Laws of Motion Chapter

When the branches of an apple tree are shaken, the apples fall down. Why?

A person jumping out from a moving car or bus falls forward. Why?

Due to what type of inertia, the spark leaves the grind stone tangentially while sharpening the knife?

Which law of motion is also called law of inertia?

What is measure of inertia of body?

Which law of motion defines the force?

What happens to a stone tied to the end of string and whirled in a circle if the string suddenly breaks?

Which law of motion gives the quantitative knowledge of force?

Which law of motion is the real law of motion?

Which law of motion gives the quantitative definition of force?

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For Daily Free Study Material Join wiredfaculty

Laws Of Motion

A block slides down on an incline of angle 30° with an acceleration g4, Find the kinetic 4 friction coefficient. 122 0.6 12 3 12

Some More Questions From Laws of Motion Chapter

When the branches of an apple tree are shaken, the apples fall down. Why?

A person jumping out from a moving car or bus falls forward. Why?

Due to what type of inertia, the spark leaves the grind stone tangentially while sharpening the knife?

Which law of motion is also called law of inertia?

What is measure of inertia of body?

Which law of motion defines the force?

What happens to a stone tied to the end of string and whirled in a circle if the string suddenly breaks?

Which law of motion gives the quantitative knowledge of force?

Which law of motion is the real law of motion?

Which law of motion gives the quantitative definition of force?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A block slides down on an incline of angle 30° with an acceleration $\frac{g}{4}$ , Find the kinetic 4 friction coefficient.

$\frac{1}{2 \sqrt{2}}$

0.6

$\frac{1}{2 \sqrt{3}}$

$\frac{1}{\sqrt{2}}$